The Reds face strong competition from Chelsea and Tottenham, as well as Inter Milan and Juventus.
Lucumi, who is 26 years old, has excelled this season in Serie A, and his contract is nearing its end, with just over 12 months remaining, which could make the deal available at a reasonable price.
Liverpool is looking to strengthen its defense, especially with the recurring injuries of Joe Gomez and the decline in form of Konate. The club has been monitoring the player earlier in the season and plans to sign him.
Chelsea is closely watching the player due to their defensive struggles this season and is looking for a new defender at a reasonable price. Meanwhile, Tottenham is preparing for the potential departure of Cristian Romero and sees Lucumi as an ideal replacement.
On the other hand, both Inter Milan and Juventus have expressed interest in signing Lucumi.